Atkin-Lehner |
5- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
82075j |
Isogeny class |
Conductor |
82075 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3234773961125 = -1 · 53 · 78 · 672 |
Discriminant |
Eigenvalues |
1 0 5- 7- 2 0 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1087,-87354] |
[a1,a2,a3,a4,a6] |
Generators |
[5014:352498:1] |
Generators of the group modulo torsion |
j |
-9663597/219961 |
j-invariant |
L |
6.6144538402051 |
L(r)(E,1)/r! |
Ω |
0.34434650923862 |
Real period |
R |
4.8021786651323 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998357 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82075l2 11725f2 |
Quadratic twists by: 5 -7 |